Properties of the Number 66791

Sixty-Six Thousand Seven Hundred Ninety-One

Basics

Value: 66790 → 66791 → 66792

Parity: odd

Prime: Yes

Previous Prime: 66763

Next Prime: 66797

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 66791

Divisors: 1, 66791

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010011100111

Octal: 202347

Duodecimal: 3279B

Hexadecimal: 104e7

Square: 4461037681

Square Root: 258.43954805718107

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Primes p such that 16·p² + 10·p + 1 divides 2^p - 1. A231916

Least k such that 2^{2^k} = n (mod k). A155886

Primes which contain the fax number of the beast (667). A321001

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, 1, 1), (1, 0, -1), (1, 1, -1)}. A148926

a(n) = φ(n² + n + 1). A66791

Rectangular array A read by upward antidiagonals in which the entry in row n and column k is defined by A(n,k) = prime(2^n-1*(2·k-1)), n,k >= 1. A264731

Starts of runs of 5 consecutive numbers that have an equal number of even and odd exponents in their prime factorization (A187039). A348079